Rogers-Ramanujan computer searches

James McLaughlin; Andrew V. Sills; Peter Zimmer

doi:10.1016/j.jsc.2009.02.003

Rogers-Ramanujan computer searches

James McLaughlin, Andrew V. Sills, Peter Zimmer

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities of false theta functions.

Original language	English
Pages (from-to)	1068-1078
Number of pages	11
Journal	Journal of Symbolic Computation
Volume	44
Issue number	8
DOIs	https://doi.org/10.1016/j.jsc.2009.02.003
State	Published - Aug 2009

Keywords

Bailey pairs
False theta functions
Rogers-Ramanujan identities
q-WZ certification
q-Zeilberger algorithm
q-series

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10.1016/j.jsc.2009.02.003

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title = "Rogers-Ramanujan computer searches",

abstract = "We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities of false theta functions.",

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KW - False theta functions

KW - Rogers-Ramanujan identities

KW - q-WZ certification

KW - q-Zeilberger algorithm

KW - q-series

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Rogers-Ramanujan computer searches

Abstract

Keywords

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